For the graph shown, select the statement that best represents the given system of equations.

2y – x = 2
x – 2y = 8

A.
consistent and independent

B.
not enough information

C.
inconsistent

D.
coincident

Question

For the graph shown, select the statement that best represents the given system of equations.

2y – x = 2
x – 2y = 8

 A.
consistent and independent
 
 B.
not enough information
 
 C.
inconsistent
 
 D.
coincident

anonymous · Answer

Substitute the first equation into the second one. 

(2y-2)-2y=8
2y-2y-2=8
-2=8

Since negative 2 is not equation to eight, this system of equations is inconsistent.